Page 6 - 200+ Top Steve Brunton Online Courses [2026]

Linear Algebra in 2D and 3D - Inner Product, Norm of a Vector, and Cross Product

Gauss's Divergence Theorem

Directional Derivative, Continuity Equation, and Examples of Vector Fields

Numerical Solutions to ODEs - Forward and Backward Euler

Numerical Integration and Numerical Solutions to ODEs

Numerical Differentiation and Numerical Integration

Numerical Differentiation Using Finite Difference

Degenerate Systems of Equations and Non-Normal Energy Growth

ODEs with External Forcing and the Convolution Integral

ODEs with External Forcing - Inhomogeneous ODEs

2x2 Systems of ODEs - With Eigenvalues and Eigenvectors, Phase Portraits

Linearization of Nonlinear ODEs, 2x2 Systems, Phase Portraits

Eigenvalues, Eigenvectors, and Dynamical Systems

Higher-Order ODEs, Characteristic Equation, Matrix Systems of First Order ODEs

Taylor Series and Solutions to First and Second Order Linear ODEs

Steve Brunton Courses

Linear Algebra in 2D and 3D - Inner Product, Norm of a Vector, and Cross Product

Gauss's Divergence Theorem

Directional Derivative, Continuity Equation, and Examples of Vector Fields

Numerical Solutions to ODEs - Forward and Backward Euler

Numerical Integration and Numerical Solutions to ODEs

Numerical Differentiation and Numerical Integration

Numerical Differentiation Using Finite Difference

Degenerate Systems of Equations and Non-Normal Energy Growth

ODEs with External Forcing and the Convolution Integral

ODEs with External Forcing - Inhomogeneous ODEs

2x2 Systems of ODEs - With Eigenvalues and Eigenvectors, Phase Portraits

Linearization of Nonlinear ODEs, 2x2 Systems, Phase Portraits

Eigenvalues, Eigenvectors, and Dynamical Systems

Higher-Order ODEs, Characteristic Equation, Matrix Systems of First Order ODEs

Taylor Series and Solutions to First and Second Order Linear ODEs